What is the Greatest Common Factor of 35350 and 35359?

Greatest common factor (GCF) of 35350 and 35359 is 1.

GCF(35350,35359) = 1

We will now calculate the prime factors of 35350 and 35359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35350 and 35359.

How to find the GCF of 35350 and 35359?

We will first find the prime factorization of 35350 and 35359. After we will calculate the factors of 35350 and 35359 and find the biggest common factor number .

Step-1: Prime Factorization of 35350

Prime factors of 35350 are 2, 5, 7, 101. Prime factorization of 35350 in exponential form is:

35350 = 2¹ × 5² × 7¹ × 101¹

Step-2: Prime Factorization of 35359

Prime factors of 35359 are 19, 1861. Prime factorization of 35359 in exponential form is:

35359 = 19¹ × 1861¹

Step-3: Factors of 35350

List of positive integer factors of 35350 that divides 35350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 101, 175, 202, 350, 505, 707, 1010, 1414, 2525, 3535, 5050, 7070, 17675

Step-4: Factors of 35359

List of positive integer factors of 35359 that divides 35350 without a remainder.

1, 19, 1861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35350 and 35359. The biggest common factor number is the GCF number.
So the greatest common factor 35350 and 35359 is 1.

Also check out the Least Common Multiple of 35350 and 35359